@techreport{TR-IC-98-01, number = {IC-98-01}, author = {Pinto, Guilherme A. and de Rezende, Pedro J.}, title = {Representing Conics using the Oriented Projective Plane}, month = {January}, year = {1998}, institution = {Institute of Computing, University of Campinas}, note = {In English, 7 pages. \par\selectlanguage{english}\textbf{Abstract} We present a geometric definition of conic sections in the oriented projective plane and describe some of their nice properties. The three main classes of affine conics are unified by a generalized distance notion on that space. This definition leads to a very simple representation of conic arcs suitable for implementations of geometric solutions to problems involving the concept of distance, in particular, the construction of various generalizations of Voronoi diagrams. } }